%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PRO012+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:31 AM UTC 2026
% Result : Theorem 0.68s 0.33s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 22
% Syntax : Number of formulae : 293 ( 130 unt; 0 typ; 0 def)
% Number of atoms : 2041 ( 599 equ; 0 cnn)
% Maximal formula atoms : 11 ( 6 avg)
% Number of connectives : 4612 (1297 ~; 658 |; 69 &;2551 @)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 8 con; 0-3 aty)
% Number of variables : 770 ( 0 ^; 735 !; 35 ?; 770 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_activity,type,
activity: $i > $o ).
thf(tp_activity_occurrence,type,
activity_occurrence: $i > $o ).
thf(tp_arboreal,type,
arboreal: $i > $o ).
thf(tp_atocc,type,
atocc: $i > $i > $o ).
thf(tp_atomic,type,
atomic: $i > $o ).
thf(tp_earlier,type,
earlier: $i > $i > $o ).
thf(tp_leaf,type,
leaf: $i > $i > $o ).
thf(tp_leaf_occ,type,
leaf_occ: $i > $i > $o ).
thf(tp_legal,type,
legal: $i > $o ).
thf(tp_min_precedes,type,
min_precedes: $i > $i > $i > $o ).
thf(tp_next_subocc,type,
next_subocc: $i > $i > $i > $o ).
thf(tp_occurrence_of,type,
occurrence_of: $i > $i > $o ).
thf(tp_precedes,type,
precedes: $i > $i > $o ).
thf(tp_root,type,
root: $i > $i > $o ).
thf(tp_root_occ,type,
root_occ: $i > $i > $o ).
thf(tp_sK1_X100,type,
sK1_X100: $i ).
thf(tp_sK2_SY43,type,
sK2_SY43: $i > $i ).
thf(tp_sK3_SY94,type,
sK3_SY94: $i > $i > $i > $i ).
thf(tp_sK4_SY96,type,
sK4_SY96: $i > $i ).
thf(tp_sK5_SY99,type,
sK5_SY99: $i > $i ).
thf(tp_sK6_SY91,type,
sK6_SY91: $i > $i > $i > $i ).
thf(tp_subactivity,type,
subactivity: $i > $i > $o ).
thf(tp_subactivity_occurrence,type,
subactivity_occurrence: $i > $i > $o ).
thf(tp_tptp0,type,
tptp0: $i ).
thf(tp_tptp1,type,
tptp1: $i ).
thf(tp_tptp2,type,
tptp2: $i ).
thf(tp_tptp3,type,
tptp3: $i ).
thf(tp_tptp4,type,
tptp4: $i ).
thf(1,axiom,
tptp2 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
thf(2,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
thf(3,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
thf(4,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
thf(5,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
thf(6,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
thf(7,axiom,
atomic @ tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
thf(8,axiom,
atomic @ tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
thf(9,axiom,
atomic @ tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
thf(11,axiom,
~ ( atomic @ tptp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
thf(12,axiom,
activity @ tptp0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
thf(13,axiom,
! [X95: $i] :
( ( occurrence_of @ X95 @ tptp0 )
=> ? [X96: $i,X97: $i,X98: $i] :
( ( occurrence_of @ X96 @ tptp3 )
& ( root_occ @ X96 @ X95 )
& ( occurrence_of @ X97 @ tptp4 )
& ( min_precedes @ X96 @ X97 @ tptp0 )
& ( ( occurrence_of @ X98 @ tptp2 )
| ( occurrence_of @ X98 @ tptp1 ) )
& ( min_precedes @ X97 @ X98 @ tptp0 )
& ! [X99: $i] :
( ( min_precedes @ X96 @ X99 @ tptp0 )
=> ( ( X99 = X97 )
| ( X99 = X98 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
thf(21,axiom,
! [X70: $i,X71: $i,X72: $i] :
( ( min_precedes @ X71 @ X72 @ X70 )
=> ? [X73: $i] :
( ( occurrence_of @ X73 @ X70 )
& ( subactivity_occurrence @ X71 @ X73 )
& ( subactivity_occurrence @ X72 @ X73 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
thf(23,axiom,
! [X64: $i,X65: $i,X66: $i] :
( ( ( occurrence_of @ X64 @ X65 )
& ( occurrence_of @ X64 @ X66 ) )
=> ( X65 = X66 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
thf(24,axiom,
! [X60: $i,X61: $i,X62: $i] :
( ( ( occurrence_of @ X60 @ X62 )
& ( leaf_occ @ X61 @ X60 ) )
=> ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
thf(25,axiom,
! [X56: $i,X57: $i,X58: $i] :
( ( ( occurrence_of @ X56 @ X58 )
& ( root_occ @ X57 @ X56 ) )
=> ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).
thf(38,axiom,
! [X25: $i,X26: $i,X27: $i] :
( ( min_precedes @ X25 @ X26 @ X27 )
=> ~ ( root @ X26 @ X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
thf(39,axiom,
! [X22: $i,X23: $i,X24: $i] :
( ( min_precedes @ X22 @ X23 @ X24 )
=> ( precedes @ X22 @ X23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
thf(41,axiom,
! [X15: $i,X16: $i,X17: $i] :
( ( next_subocc @ X15 @ X16 @ X17 )
<=> ( ( min_precedes @ X15 @ X16 @ X17 )
& ~ ? [X18: $i] :
( ( min_precedes @ X15 @ X18 @ X17 )
& ( min_precedes @ X18 @ X16 @ X17 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
thf(43,axiom,
! [X7: $i,X8: $i,X9: $i,X10: $i] :
( ( ( occurrence_of @ X9 @ X10 )
& ( root_occ @ X7 @ X9 )
& ( root_occ @ X8 @ X9 ) )
=> ( X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
thf(45,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( min_precedes @ X0 @ X1 @ X3 )
& ( min_precedes @ X1 @ X2 @ X3 ) )
=> ( min_precedes @ X0 @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
thf(46,conjecture,
! [X100: $i] :
( ( occurrence_of @ X100 @ tptp0 )
=> ? [X101: $i,X102: $i] :
( ( occurrence_of @ X101 @ tptp3 )
& ( root_occ @ X101 @ X100 )
& ( ( occurrence_of @ X102 @ tptp2 )
| ( occurrence_of @ X102 @ tptp1 ) )
& ( min_precedes @ X101 @ X102 @ tptp0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
thf(47,negated_conjecture,
( ( ! [X100: $i] :
( ( occurrence_of @ X100 @ tptp0 )
=> ? [X101: $i,X102: $i] :
( ( occurrence_of @ X101 @ tptp3 )
& ( root_occ @ X101 @ X100 )
& ( ( occurrence_of @ X102 @ tptp2 )
| ( occurrence_of @ X102 @ tptp1 ) )
& ( min_precedes @ X101 @ X102 @ tptp0 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[46]) ).
thf(48,plain,
( ( ! [X100: $i] :
( ( occurrence_of @ X100 @ tptp0 )
=> ? [X101: $i,X102: $i] :
( ( occurrence_of @ X101 @ tptp3 )
& ( root_occ @ X101 @ X100 )
& ( ( occurrence_of @ X102 @ tptp2 )
| ( occurrence_of @ X102 @ tptp1 ) )
& ( min_precedes @ X101 @ X102 @ tptp0 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[47]) ).
thf(49,plain,
( ( tptp2 != tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(50,plain,
( ( tptp3 != tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(51,plain,
( ( tptp3 != tptp2 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(52,plain,
( ( tptp4 != tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(53,plain,
( ( tptp4 != tptp2 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(54,plain,
( ( tptp4 != tptp3 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(55,plain,
( ( atomic @ tptp3 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(56,plain,
( ( atomic @ tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(57,plain,
( ( atomic @ tptp2 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(58,plain,
( ( ~ ( atomic @ tptp0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(59,plain,
( ( activity @ tptp0 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(60,plain,
( ( ! [X95: $i] :
( ( occurrence_of @ X95 @ tptp0 )
=> ? [X96: $i,X97: $i,X98: $i] :
( ( occurrence_of @ X96 @ tptp3 )
& ( root_occ @ X96 @ X95 )
& ( occurrence_of @ X97 @ tptp4 )
& ( min_precedes @ X96 @ X97 @ tptp0 )
& ( ( occurrence_of @ X98 @ tptp2 )
| ( occurrence_of @ X98 @ tptp1 ) )
& ( min_precedes @ X97 @ X98 @ tptp0 )
& ! [X99: $i] :
( ( min_precedes @ X96 @ X99 @ tptp0 )
=> ( ( X99 = X97 )
| ( X99 = X98 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(61,plain,
( ( ! [X70: $i,X71: $i,X72: $i] :
( ( min_precedes @ X71 @ X72 @ X70 )
=> ? [X73: $i] :
( ( occurrence_of @ X73 @ X70 )
& ( subactivity_occurrence @ X71 @ X73 )
& ( subactivity_occurrence @ X72 @ X73 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(62,plain,
( ( ! [X64: $i,X65: $i,X66: $i] :
( ( ( occurrence_of @ X64 @ X65 )
& ( occurrence_of @ X64 @ X66 ) )
=> ( X65 = X66 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(63,plain,
( ( ! [X60: $i,X61: $i,X62: $i] :
( ( ( occurrence_of @ X60 @ X62 )
& ( leaf_occ @ X61 @ X60 ) )
=> ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(64,plain,
( ( ! [X56: $i,X57: $i,X58: $i] :
( ( ( occurrence_of @ X56 @ X58 )
& ( root_occ @ X57 @ X56 ) )
=> ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(65,plain,
( ( ! [X25: $i,X26: $i,X27: $i] :
( ( min_precedes @ X25 @ X26 @ X27 )
=> ~ ( root @ X26 @ X27 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(66,plain,
( ( ! [X22: $i,X23: $i,X24: $i] :
( ( min_precedes @ X22 @ X23 @ X24 )
=> ( precedes @ X22 @ X23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(67,plain,
( ( ! [X15: $i,X16: $i,X17: $i] :
( ( next_subocc @ X15 @ X16 @ X17 )
<=> ( ( min_precedes @ X15 @ X16 @ X17 )
& ~ ? [X18: $i] :
( ( min_precedes @ X15 @ X18 @ X17 )
& ( min_precedes @ X18 @ X16 @ X17 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(68,plain,
( ( ! [X7: $i,X8: $i,X9: $i,X10: $i] :
( ( ( occurrence_of @ X9 @ X10 )
& ( root_occ @ X7 @ X9 )
& ( root_occ @ X8 @ X9 ) )
=> ( X7 = X8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(69,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( min_precedes @ X0 @ X1 @ X3 )
& ( min_precedes @ X1 @ X2 @ X3 ) )
=> ( min_precedes @ X0 @ X2 @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(70,plain,
( ( ( occurrence_of @ sK1_X100 @ tptp0 )
=> ? [SY41: $i,SY42: $i] :
( ( occurrence_of @ SY41 @ tptp3 )
& ( root_occ @ SY41 @ sK1_X100 )
& ( ( occurrence_of @ SY42 @ tptp2 )
| ( occurrence_of @ SY42 @ tptp1 ) )
& ( min_precedes @ SY41 @ SY42 @ tptp0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(71,plain,
( ( occurrence_of @ sK1_X100 @ tptp0 )
= $true ),
inference(standard_cnf,[status(thm)],[70]) ).
thf(72,plain,
( ( ? [SY41: $i,SY42: $i] :
( ( occurrence_of @ SY41 @ tptp3 )
& ( root_occ @ SY41 @ sK1_X100 )
& ( ( occurrence_of @ SY42 @ tptp2 )
| ( occurrence_of @ SY42 @ tptp1 ) )
& ( min_precedes @ SY41 @ SY42 @ tptp0 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[70]) ).
thf(73,plain,
( ( ~ ? [SY41: $i,SY42: $i] :
( ( occurrence_of @ SY41 @ tptp3 )
& ( root_occ @ SY41 @ sK1_X100 )
& ( ( occurrence_of @ SY42 @ tptp2 )
| ( occurrence_of @ SY42 @ tptp1 ) )
& ( min_precedes @ SY41 @ SY42 @ tptp0 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[72]) ).
thf(74,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( min_precedes @ X0 @ X1 @ X3 )
& ( min_precedes @ X1 @ X2 @ X3 ) )
=> ( min_precedes @ X0 @ X2 @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(75,plain,
( ( ! [X7: $i,X8: $i,X9: $i,X10: $i] :
( ( ( occurrence_of @ X9 @ X10 )
& ( root_occ @ X7 @ X9 )
& ( root_occ @ X8 @ X9 ) )
=> ( X7 = X8 ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(76,plain,
( ( ! [X15: $i,X16: $i,X17: $i] :
( ( next_subocc @ X15 @ X16 @ X17 )
<=> ( ( min_precedes @ X15 @ X16 @ X17 )
& ~ ? [X18: $i] :
( ( min_precedes @ X15 @ X18 @ X17 )
& ( min_precedes @ X18 @ X16 @ X17 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(77,plain,
( ( ! [X22: $i,X23: $i,X24: $i] :
( ( min_precedes @ X22 @ X23 @ X24 )
=> ( precedes @ X22 @ X23 ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(78,plain,
( ( ! [X25: $i,X26: $i,X27: $i] :
( ( min_precedes @ X25 @ X26 @ X27 )
=> ~ ( root @ X26 @ X27 ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(79,plain,
( ( ! [X56: $i,X57: $i,X58: $i] :
( ( ( occurrence_of @ X56 @ X58 )
& ( root_occ @ X57 @ X56 ) )
=> ~ ? [X59: $i] : ( min_precedes @ X59 @ X57 @ X58 ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(80,plain,
( ( ! [X60: $i,X61: $i,X62: $i] :
( ( ( occurrence_of @ X60 @ X62 )
& ( leaf_occ @ X61 @ X60 ) )
=> ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(81,plain,
( ( ! [X64: $i,X65: $i,X66: $i] :
( ( ( occurrence_of @ X64 @ X65 )
& ( occurrence_of @ X64 @ X66 ) )
=> ( X65 = X66 ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(82,plain,
( ( ! [X70: $i,X71: $i,X72: $i] :
( ( min_precedes @ X71 @ X72 @ X70 )
=> ? [X73: $i] :
( ( occurrence_of @ X73 @ X70 )
& ( subactivity_occurrence @ X71 @ X73 )
& ( subactivity_occurrence @ X72 @ X73 ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(83,plain,
( ( ! [X95: $i] :
( ( occurrence_of @ X95 @ tptp0 )
=> ? [X96: $i,X97: $i,X98: $i] :
( ( occurrence_of @ X96 @ tptp3 )
& ( root_occ @ X96 @ X95 )
& ( occurrence_of @ X97 @ tptp4 )
& ( min_precedes @ X96 @ X97 @ tptp0 )
& ( ( occurrence_of @ X98 @ tptp2 )
| ( occurrence_of @ X98 @ tptp1 ) )
& ( min_precedes @ X97 @ X98 @ tptp0 )
& ! [X99: $i] :
( ( min_precedes @ X96 @ X99 @ tptp0 )
=> ( ( X99 = X97 )
| ( X99 = X98 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(84,plain,
( ( activity @ tptp0 )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(85,plain,
( ( ~ ( atomic @ tptp0 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(86,plain,
( ( atomic @ tptp2 )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(87,plain,
( ( atomic @ tptp1 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(88,plain,
( ( atomic @ tptp3 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(89,plain,
( ( tptp4 != tptp3 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(90,plain,
( ( tptp4 != tptp2 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(91,plain,
( ( tptp4 != tptp1 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(92,plain,
( ( tptp3 != tptp2 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(93,plain,
( ( tptp3 != tptp1 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(94,plain,
( ( tptp2 != tptp1 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(95,plain,
( ( occurrence_of @ sK1_X100 @ tptp0 )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(96,plain,
( ( ~ ? [SY41: $i,SY42: $i] :
( ( occurrence_of @ SY41 @ tptp3 )
& ( root_occ @ SY41 @ sK1_X100 )
& ( ( occurrence_of @ SY42 @ tptp2 )
| ( occurrence_of @ SY42 @ tptp1 ) )
& ( min_precedes @ SY41 @ SY42 @ tptp0 ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(97,plain,
( ( ! [SX0: $i] :
( ~ ( occurrence_of @ SX0 @ tptp0 )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX1 @ tptp3 )
| ~ ( root_occ @ SX1 @ SX0 ) )
| ~ ( occurrence_of @ SX2 @ tptp4 ) )
| ~ ( min_precedes @ SX1 @ SX2 @ tptp0 ) )
| ~ ( ( occurrence_of @ SX3 @ tptp2 )
| ( occurrence_of @ SX3 @ tptp1 ) ) )
| ~ ( min_precedes @ SX2 @ SX3 @ tptp0 ) )
| ~ ! [SX4: $i] :
( ~ ( min_precedes @ SX1 @ SX4 @ tptp0 )
| ( SX4 = SX2 )
| ( SX4 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(98,plain,
( ( tptp3 != tptp2 )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(99,plain,
( ( tptp3 != tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(100,plain,
( ( tptp4 != tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(101,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX2 @ SX3 )
| ~ ( root_occ @ SX0 @ SX2 ) )
| ~ ( root_occ @ SX1 @ SX2 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(102,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( min_precedes @ SX0 @ SX1 @ SX3 )
| ~ ( min_precedes @ SX1 @ SX2 @ SX3 ) )
| ( min_precedes @ SX0 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(103,plain,
( ( tptp4 != tptp2 )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(104,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( next_subocc @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
| ~ ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( min_precedes @ SX0 @ SX3 @ SX2 )
| ~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
| ~ ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( min_precedes @ SX0 @ SX3 @ SX2 )
| ~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) )
| ( next_subocc @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(105,plain,
( ( tptp2 != tptp1 )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(106,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
| ( precedes @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(107,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( occurrence_of @ SX0 @ SX1 )
| ~ ( occurrence_of @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(108,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( min_precedes @ SX0 @ SX1 @ SX2 )
| ~ ( root @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(109,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX0 @ tptp3 )
| ~ ( root_occ @ SX0 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SX1 @ tptp2 )
| ( occurrence_of @ SX1 @ tptp1 ) ) )
| ~ ( min_precedes @ SX0 @ SX1 @ tptp0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(110,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( occurrence_of @ SX0 @ SX2 )
| ~ ( root_occ @ SX1 @ SX0 ) )
| ~ ~ ! [SX3: $i] :
~ ( min_precedes @ SX3 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(111,plain,
( ( tptp4 != tptp3 )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(112,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( min_precedes @ SX1 @ SX2 @ SX0 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX3 @ SX0 )
| ~ ( subactivity_occurrence @ SX1 @ SX3 ) )
| ~ ( subactivity_occurrence @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(113,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( occurrence_of @ SX0 @ SX2 )
| ~ ( leaf_occ @ SX1 @ SX0 ) )
| ~ ~ ! [SX3: $i] :
~ ( min_precedes @ SX1 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(114,plain,
( ( atomic @ tptp0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(115,plain,
! [SV1: $i] :
( ( ~ ( occurrence_of @ SV1 @ tptp0 )
| ~ ! [SY43: $i] :
~ ~ ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY43 @ tptp3 )
| ~ ( root_occ @ SY43 @ SV1 ) )
| ~ ( occurrence_of @ SY44 @ tptp4 ) )
| ~ ( min_precedes @ SY43 @ SY44 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY45 @ tptp2 )
| ( occurrence_of @ SY45 @ tptp1 ) ) )
| ~ ( min_precedes @ SY44 @ SY45 @ tptp0 ) )
| ~ ! [SX4: $i] :
( ~ ( min_precedes @ SY43 @ SX4 @ tptp0 )
| ( SX4 = SY44 )
| ( SX4 = SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(116,plain,
( ( tptp3 = tptp2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(117,plain,
( ( tptp3 = tptp1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(118,plain,
( ( tptp4 = tptp1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV2: $i] :
( ( ! [SY47: $i,SY48: $i,SY49: $i] :
( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY48 @ SY49 )
| ~ ( root_occ @ SV2 @ SY48 ) )
| ~ ( root_occ @ SY47 @ SY48 ) )
| ( SV2 = SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV3: $i] :
( ( ! [SY50: $i,SY51: $i,SY52: $i] :
( ~ ~ ( ~ ( min_precedes @ SV3 @ SY50 @ SY52 )
| ~ ( min_precedes @ SY50 @ SY51 @ SY52 ) )
| ( min_precedes @ SV3 @ SY51 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(121,plain,
( ( tptp4 = tptp2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(122,plain,
! [SV4: $i] :
( ( ! [SY53: $i,SY54: $i] :
~ ( ~ ( ~ ( next_subocc @ SV4 @ SY53 @ SY54 )
| ~ ( ~ ( min_precedes @ SV4 @ SY53 @ SY54 )
| ~ ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY55 @ SY54 )
| ~ ( min_precedes @ SY55 @ SY53 @ SY54 ) ) ) )
| ~ ( ~ ~ ( ~ ( min_precedes @ SV4 @ SY53 @ SY54 )
| ~ ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY56 @ SY54 )
| ~ ( min_precedes @ SY56 @ SY53 @ SY54 ) ) )
| ( next_subocc @ SV4 @ SY53 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(123,plain,
( ( tptp2 = tptp1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(124,plain,
! [SV5: $i] :
( ( ! [SY57: $i,SY58: $i] :
( ~ ( min_precedes @ SV5 @ SY57 @ SY58 )
| ( precedes @ SV5 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(125,plain,
! [SV6: $i] :
( ( ! [SY59: $i,SY60: $i] :
( ~ ~ ( ~ ( occurrence_of @ SV6 @ SY59 )
| ~ ( occurrence_of @ SV6 @ SY60 ) )
| ( SY59 = SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(126,plain,
! [SV7: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ( min_precedes @ SV7 @ SY61 @ SY62 )
| ~ ( root @ SY61 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(127,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX0 @ tptp3 )
| ~ ( root_occ @ SX0 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SX1 @ tptp2 )
| ( occurrence_of @ SX1 @ tptp1 ) ) )
| ~ ( min_precedes @ SX0 @ SX1 @ tptp0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(128,plain,
! [SV8: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( occurrence_of @ SV8 @ SY64 )
| ~ ( root_occ @ SY63 @ SV8 ) )
| ~ ~ ! [SX3: $i] :
~ ( min_precedes @ SX3 @ SY63 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(129,plain,
( ( tptp4 = tptp3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(130,plain,
! [SV9: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ( min_precedes @ SY66 @ SY67 @ SV9 )
| ~ ! [SY68: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY68 @ SV9 )
| ~ ( subactivity_occurrence @ SY66 @ SY68 ) )
| ~ ( subactivity_occurrence @ SY67 @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(131,plain,
! [SV10: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ~ ~ ( ~ ( occurrence_of @ SV10 @ SY70 )
| ~ ( leaf_occ @ SY69 @ SV10 ) )
| ~ ~ ! [SX3: $i] :
~ ( min_precedes @ SY69 @ SX3 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(132,plain,
! [SV1: $i] :
( ( ( ~ ( occurrence_of @ SV1 @ tptp0 ) )
= $true )
| ( ( ~ ! [SY43: $i] :
~ ~ ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY43 @ tptp3 )
| ~ ( root_occ @ SY43 @ SV1 ) )
| ~ ( occurrence_of @ SY44 @ tptp4 ) )
| ~ ( min_precedes @ SY43 @ SY44 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY45 @ tptp2 )
| ( occurrence_of @ SY45 @ tptp1 ) ) )
| ~ ( min_precedes @ SY44 @ SY45 @ tptp0 ) )
| ~ ! [SX4: $i] :
( ~ ( min_precedes @ SY43 @ SX4 @ tptp0 )
| ( SX4 = SY44 )
| ( SX4 = SY45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(133,plain,
! [SV11: $i,SV2: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY72 @ SY73 )
| ~ ( root_occ @ SV2 @ SY72 ) )
| ~ ( root_occ @ SV11 @ SY72 ) )
| ( SV2 = SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(134,plain,
! [SV12: $i,SV3: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ~ ~ ( ~ ( min_precedes @ SV3 @ SV12 @ SY75 )
| ~ ( min_precedes @ SV12 @ SY74 @ SY75 ) )
| ( min_precedes @ SV3 @ SY74 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(135,plain,
! [SV13: $i,SV4: $i] :
( ( ! [SY76: $i] :
~ ( ~ ( ~ ( next_subocc @ SV4 @ SV13 @ SY76 )
| ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SY76 )
| ~ ~ ~ ! [SY77: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY77 @ SY76 )
| ~ ( min_precedes @ SY77 @ SV13 @ SY76 ) ) ) )
| ~ ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SY76 )
| ~ ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY78 @ SY76 )
| ~ ( min_precedes @ SY78 @ SV13 @ SY76 ) ) )
| ( next_subocc @ SV4 @ SV13 @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(136,plain,
! [SV14: $i,SV5: $i] :
( ( ! [SY79: $i] :
( ~ ( min_precedes @ SV5 @ SV14 @ SY79 )
| ( precedes @ SV5 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(137,plain,
! [SV15: $i,SV6: $i] :
( ( ! [SY80: $i] :
( ~ ~ ( ~ ( occurrence_of @ SV6 @ SV15 )
| ~ ( occurrence_of @ SV6 @ SY80 ) )
| ( SV15 = SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(138,plain,
! [SV16: $i,SV7: $i] :
( ( ! [SY81: $i] :
( ~ ( min_precedes @ SV7 @ SV16 @ SY81 )
| ~ ( root @ SV16 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(139,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SX0 @ tptp3 )
| ~ ( root_occ @ SX0 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SX1 @ tptp2 )
| ( occurrence_of @ SX1 @ tptp1 ) ) )
| ~ ( min_precedes @ SX0 @ SX1 @ tptp0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(140,plain,
! [SV17: $i,SV8: $i] :
( ( ! [SY82: $i] :
( ~ ~ ( ~ ( occurrence_of @ SV8 @ SY82 )
| ~ ( root_occ @ SV17 @ SV8 ) )
| ~ ~ ! [SY83: $i] :
~ ( min_precedes @ SY83 @ SV17 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(141,plain,
! [SV9: $i,SV18: $i] :
( ( ! [SY84: $i] :
( ~ ( min_precedes @ SV18 @ SY84 @ SV9 )
| ~ ! [SY85: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY85 @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ SY85 ) )
| ~ ( subactivity_occurrence @ SY84 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(142,plain,
! [SV19: $i,SV10: $i] :
( ( ! [SY86: $i] :
( ~ ~ ( ~ ( occurrence_of @ SV10 @ SY86 )
| ~ ( leaf_occ @ SV19 @ SV10 ) )
| ~ ~ ! [SY87: $i] :
~ ( min_precedes @ SV19 @ SY87 @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV1: $i] :
( ( ( occurrence_of @ SV1 @ tptp0 )
= $false )
| ( ( ~ ! [SY43: $i] :
~ ~ ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY43 @ tptp3 )
| ~ ( root_occ @ SY43 @ SV1 ) )
| ~ ( occurrence_of @ SY44 @ tptp4 ) )
| ~ ( min_precedes @ SY43 @ SY44 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY45 @ tptp2 )
| ( occurrence_of @ SY45 @ tptp1 ) ) )
| ~ ( min_precedes @ SY44 @ SY45 @ tptp0 ) )
| ~ ! [SX4: $i] :
( ~ ( min_precedes @ SY43 @ SX4 @ tptp0 )
| ( SX4 = SY44 )
| ( SX4 = SY45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV11: $i,SV2: $i,SV20: $i] :
( ( ! [SY88: $i] :
( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV20 @ SY88 )
| ~ ( root_occ @ SV2 @ SV20 ) )
| ~ ( root_occ @ SV11 @ SV20 ) )
| ( SV2 = SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(145,plain,
! [SV21: $i,SV12: $i,SV3: $i] :
( ( ! [SY89: $i] :
( ~ ~ ( ~ ( min_precedes @ SV3 @ SV12 @ SY89 )
| ~ ( min_precedes @ SV12 @ SV21 @ SY89 ) )
| ( min_precedes @ SV3 @ SV21 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(146,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( next_subocc @ SV4 @ SV13 @ SV22 )
| ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) ) )
| ~ ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
| ( next_subocc @ SV4 @ SV13 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(147,plain,
! [SV23: $i,SV14: $i,SV5: $i] :
( ( ~ ( min_precedes @ SV5 @ SV14 @ SV23 )
| ( precedes @ SV5 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(148,plain,
! [SV24: $i,SV15: $i,SV6: $i] :
( ( ~ ~ ( ~ ( occurrence_of @ SV6 @ SV15 )
| ~ ( occurrence_of @ SV6 @ SV24 ) )
| ( SV15 = SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(149,plain,
! [SV25: $i,SV16: $i,SV7: $i] :
( ( ~ ( min_precedes @ SV7 @ SV16 @ SV25 )
| ~ ( root @ SV16 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(150,plain,
! [SV26: $i] :
( ( ~ ~ ! [SY92: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SY92 @ tptp2 )
| ( occurrence_of @ SY92 @ tptp1 ) ) )
| ~ ( min_precedes @ SV26 @ SY92 @ tptp0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(151,plain,
! [SV17: $i,SV27: $i,SV8: $i] :
( ( ~ ~ ( ~ ( occurrence_of @ SV8 @ SV27 )
| ~ ( root_occ @ SV17 @ SV8 ) )
| ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(152,plain,
! [SV9: $i,SV28: $i,SV18: $i] :
( ( ~ ( min_precedes @ SV18 @ SV28 @ SV9 )
| ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY94 @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ SY94 ) )
| ~ ( subactivity_occurrence @ SV28 @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(153,plain,
! [SV19: $i,SV29: $i,SV10: $i] :
( ( ~ ~ ( ~ ( occurrence_of @ SV10 @ SV29 )
| ~ ( leaf_occ @ SV19 @ SV10 ) )
| ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV1: $i] :
( ( ( ! [SY43: $i] :
~ ~ ! [SY44: $i] :
~ ~ ! [SY45: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY43 @ tptp3 )
| ~ ( root_occ @ SY43 @ SV1 ) )
| ~ ( occurrence_of @ SY44 @ tptp4 ) )
| ~ ( min_precedes @ SY43 @ SY44 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY45 @ tptp2 )
| ( occurrence_of @ SY45 @ tptp1 ) ) )
| ~ ( min_precedes @ SY44 @ SY45 @ tptp0 ) )
| ~ ! [SX4: $i] :
( ~ ( min_precedes @ SY43 @ SX4 @ tptp0 )
| ( SX4 = SY44 )
| ( SX4 = SY45 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) )
| ~ ( root_occ @ SV11 @ SV20 ) )
| ( SV2 = SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(156,plain,
! [SV21: $i,SV31: $i,SV12: $i,SV3: $i] :
( ( ~ ~ ( ~ ( min_precedes @ SV3 @ SV12 @ SV31 )
| ~ ( min_precedes @ SV12 @ SV21 @ SV31 ) )
| ( min_precedes @ SV3 @ SV21 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(157,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ~ ( ~ ( next_subocc @ SV4 @ SV13 @ SV22 )
| ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) ) )
| ~ ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
| ( next_subocc @ SV4 @ SV13 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(158,plain,
! [SV23: $i,SV14: $i,SV5: $i] :
( ( ( ~ ( min_precedes @ SV5 @ SV14 @ SV23 ) )
= $true )
| ( ( precedes @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(159,plain,
! [SV24: $i,SV15: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV6 @ SV15 )
| ~ ( occurrence_of @ SV6 @ SV24 ) ) )
= $true )
| ( ( SV15 = SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(160,plain,
! [SV25: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( min_precedes @ SV7 @ SV16 @ SV25 ) )
= $true )
| ( ( ~ ( root @ SV16 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV26: $i] :
( ( ~ ! [SY92: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SY92 @ tptp2 )
| ( occurrence_of @ SY92 @ tptp1 ) ) )
| ~ ( min_precedes @ SV26 @ SY92 @ tptp0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(162,plain,
! [SV17: $i,SV27: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV8 @ SV27 )
| ~ ( root_occ @ SV17 @ SV8 ) ) )
= $true )
| ( ( ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(163,plain,
! [SV9: $i,SV28: $i,SV18: $i] :
( ( ( ~ ( min_precedes @ SV18 @ SV28 @ SV9 ) )
= $true )
| ( ( ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY94 @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ SY94 ) )
| ~ ( subactivity_occurrence @ SV28 @ SY94 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(164,plain,
! [SV19: $i,SV29: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV10 @ SV29 )
| ~ ( leaf_occ @ SV19 @ SV10 ) ) )
= $true )
| ( ( ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY96: $i] :
~ ~ ! [SY97: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ SY96 @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY96 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY97 @ tptp2 )
| ( occurrence_of @ SY97 @ tptp1 ) ) )
| ~ ( min_precedes @ SY96 @ SY97 @ tptp0 ) )
| ~ ! [SY98: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY98 @ tptp0 )
| ( SY98 = SY96 )
| ( SY98 = SY97 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(166,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) )
| ~ ( root_occ @ SV11 @ SV20 ) ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(167,plain,
! [SV21: $i,SV31: $i,SV12: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( min_precedes @ SV3 @ SV12 @ SV31 )
| ~ ( min_precedes @ SV12 @ SV21 @ SV31 ) ) )
= $true )
| ( ( min_precedes @ SV3 @ SV21 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ~ ( ~ ( next_subocc @ SV4 @ SV13 @ SV22 )
| ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(169,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
| ( next_subocc @ SV4 @ SV13 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(170,plain,
! [SV23: $i,SV14: $i,SV5: $i] :
( ( ( min_precedes @ SV5 @ SV14 @ SV23 )
= $false )
| ( ( precedes @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(171,plain,
! [SV24: $i,SV15: $i,SV6: $i] :
( ( ( ~ ( ~ ( occurrence_of @ SV6 @ SV15 )
| ~ ( occurrence_of @ SV6 @ SV24 ) ) )
= $false )
| ( ( SV15 = SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV25: $i,SV16: $i,SV7: $i] :
( ( ( min_precedes @ SV7 @ SV16 @ SV25 )
= $false )
| ( ( ~ ( root @ SV16 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(173,plain,
! [SV26: $i] :
( ( ! [SY92: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SY92 @ tptp2 )
| ( occurrence_of @ SY92 @ tptp1 ) ) )
| ~ ( min_precedes @ SV26 @ SY92 @ tptp0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(174,plain,
! [SV17: $i,SV27: $i,SV8: $i] :
( ( ( ~ ( ~ ( occurrence_of @ SV8 @ SV27 )
| ~ ( root_occ @ SV17 @ SV8 ) ) )
= $false )
| ( ( ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(175,plain,
! [SV9: $i,SV28: $i,SV18: $i] :
( ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false )
| ( ( ~ ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY94 @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ SY94 ) )
| ~ ( subactivity_occurrence @ SV28 @ SY94 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(176,plain,
! [SV19: $i,SV29: $i,SV10: $i] :
( ( ( ~ ( ~ ( occurrence_of @ SV10 @ SV29 )
| ~ ( leaf_occ @ SV19 @ SV10 ) ) )
= $false )
| ( ( ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(177,plain,
! [SV1: $i] :
( ( ( ~ ! [SY96: $i] :
~ ~ ! [SY97: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ SY96 @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY96 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY97 @ tptp2 )
| ( occurrence_of @ SY97 @ tptp1 ) ) )
| ~ ( min_precedes @ SY96 @ SY97 @ tptp0 ) )
| ~ ! [SY98: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY98 @ tptp0 )
| ( SY98 = SY96 )
| ( SY98 = SY97 ) ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(178,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) )
| ~ ( root_occ @ SV11 @ SV20 ) ) )
= $false )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(179,plain,
! [SV21: $i,SV31: $i,SV12: $i,SV3: $i] :
( ( ( ~ ( ~ ( min_precedes @ SV3 @ SV12 @ SV31 )
| ~ ( min_precedes @ SV12 @ SV21 @ SV31 ) ) )
= $false )
| ( ( min_precedes @ SV3 @ SV21 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(180,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ~ ( next_subocc @ SV4 @ SV13 @ SV22 )
| ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(181,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
| ( next_subocc @ SV4 @ SV13 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(182,plain,
! [SV24: $i,SV15: $i,SV6: $i] :
( ( ( ~ ( occurrence_of @ SV6 @ SV15 )
| ~ ( occurrence_of @ SV6 @ SV24 ) )
= $true )
| ( ( SV15 = SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(183,plain,
! [SV7: $i,SV25: $i,SV16: $i] :
( ( ( root @ SV16 @ SV25 )
= $false )
| ( ( min_precedes @ SV7 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(184,plain,
! [SV32: $i,SV26: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
| ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(185,plain,
! [SV17: $i,SV27: $i,SV8: $i] :
( ( ( ~ ( occurrence_of @ SV8 @ SV27 )
| ~ ( root_occ @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(186,plain,
! [SV28: $i,SV18: $i,SV9: $i] :
( ( ( ! [SY94: $i] :
~ ~ ( ~ ~ ( ~ ( occurrence_of @ SY94 @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ SY94 ) )
| ~ ( subactivity_occurrence @ SV28 @ SY94 ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV19: $i,SV29: $i,SV10: $i] :
( ( ( ~ ( occurrence_of @ SV10 @ SV29 )
| ~ ( leaf_occ @ SV19 @ SV10 ) )
= $true )
| ( ( ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(188,plain,
! [SV1: $i] :
( ( ( ! [SY96: $i] :
~ ~ ! [SY97: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ SY96 @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY96 @ tptp0 ) )
| ~ ( ( occurrence_of @ SY97 @ tptp2 )
| ( occurrence_of @ SY97 @ tptp1 ) ) )
| ~ ( min_precedes @ SY96 @ SY97 @ tptp0 ) )
| ~ ! [SY98: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY98 @ tptp0 )
| ( SY98 = SY96 )
| ( SY98 = SY97 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(189,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) )
| ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(190,plain,
! [SV21: $i,SV31: $i,SV12: $i,SV3: $i] :
( ( ( ~ ( min_precedes @ SV3 @ SV12 @ SV31 )
| ~ ( min_precedes @ SV12 @ SV21 @ SV31 ) )
= $true )
| ( ( min_precedes @ SV3 @ SV21 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(191,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( next_subocc @ SV4 @ SV13 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(192,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(193,plain,
! [SV24: $i,SV15: $i,SV6: $i] :
( ( ( ~ ( occurrence_of @ SV6 @ SV15 ) )
= $true )
| ( ( ~ ( occurrence_of @ SV6 @ SV24 ) )
= $true )
| ( ( SV15 = SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(194,plain,
! [SV32: $i,SV26: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
| ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV17: $i,SV27: $i,SV8: $i] :
( ( ( ~ ( occurrence_of @ SV8 @ SV27 ) )
= $true )
| ( ( ~ ( root_occ @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
| ~ ( subactivity_occurrence @ SV28 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(197,plain,
! [SV19: $i,SV29: $i,SV10: $i] :
( ( ( ~ ( occurrence_of @ SV10 @ SV29 ) )
= $true )
| ( ( ~ ( leaf_occ @ SV19 @ SV10 ) )
= $true )
| ( ( ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV1: $i] :
( ( ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ SY99 @ tptp2 )
| ( occurrence_of @ SY99 @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ SY99 @ tptp0 ) )
| ~ ! [SY100: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY100 @ tptp0 )
| ( SY100
= ( sK4_SY96 @ SV1 ) )
| ( SY100 = SY99 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(199,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) ) )
= $true )
| ( ( ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV21: $i,SV31: $i,SV12: $i,SV3: $i] :
( ( ( ~ ( min_precedes @ SV3 @ SV12 @ SV31 ) )
= $true )
| ( ( ~ ( min_precedes @ SV12 @ SV21 @ SV31 ) )
= $true )
| ( ( min_precedes @ SV3 @ SV21 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(202,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) ) )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV24: $i,SV15: $i,SV6: $i] :
( ( ( occurrence_of @ SV6 @ SV15 )
= $false )
| ( ( ~ ( occurrence_of @ SV6 @ SV24 ) )
= $true )
| ( ( SV15 = SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(204,plain,
! [SV32: $i,SV26: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
| ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(205,plain,
! [SV17: $i,SV27: $i,SV8: $i] :
( ( ( occurrence_of @ SV8 @ SV27 )
= $false )
| ( ( ~ ( root_occ @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(206,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
| ~ ( subactivity_occurrence @ SV28 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) ) )
= $true )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV19: $i,SV29: $i,SV10: $i] :
( ( ( occurrence_of @ SV10 @ SV29 )
= $false )
| ( ( ~ ( leaf_occ @ SV19 @ SV10 ) )
= $true )
| ( ( ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV1: $i] :
( ( ( ~ ! [SY99: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ SY99 @ tptp2 )
| ( occurrence_of @ SY99 @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ SY99 @ tptp0 ) )
| ~ ! [SY100: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY100 @ tptp0 )
| ( SY100
= ( sK4_SY96 @ SV1 ) )
| ( SY100 = SY99 ) ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(209,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) ) )
= $false )
| ( ( ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(210,plain,
! [SV21: $i,SV31: $i,SV12: $i,SV3: $i] :
( ( ( min_precedes @ SV3 @ SV12 @ SV31 )
= $false )
| ( ( ~ ( min_precedes @ SV12 @ SV21 @ SV31 ) )
= $true )
| ( ( min_precedes @ SV3 @ SV21 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(211,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 )
| ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(213,plain,
! [SV15: $i,SV24: $i,SV6: $i] :
( ( ( occurrence_of @ SV6 @ SV24 )
= $false )
| ( ( occurrence_of @ SV6 @ SV15 )
= $false )
| ( ( SV15 = SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(214,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(215,plain,
! [SV27: $i,SV8: $i,SV17: $i] :
( ( ( root_occ @ SV17 @ SV8 )
= $false )
| ( ( occurrence_of @ SV8 @ SV27 )
= $false )
| ( ( ~ ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(216,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
| ~ ( subactivity_occurrence @ SV28 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(217,plain,
! [SV29: $i,SV10: $i,SV19: $i] :
( ( ( leaf_occ @ SV19 @ SV10 )
= $false )
| ( ( occurrence_of @ SV10 @ SV29 )
= $false )
| ( ( ~ ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(218,plain,
! [SV1: $i] :
( ( ( ! [SY99: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ SY99 @ tptp2 )
| ( occurrence_of @ SY99 @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ SY99 @ tptp0 ) )
| ~ ! [SY100: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY100 @ tptp0 )
| ( SY100
= ( sK4_SY96 @ SV1 ) )
| ( SY100 = SY99 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(219,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ( occurrence_of @ SV20 @ SV30 )
| ~ ( root_occ @ SV2 @ SV20 ) )
= $true )
| ( ( ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(220,plain,
! [SV3: $i,SV31: $i,SV21: $i,SV12: $i] :
( ( ( min_precedes @ SV12 @ SV21 @ SV31 )
= $false )
| ( ( min_precedes @ SV3 @ SV12 @ SV31 )
= $false )
| ( ( min_precedes @ SV3 @ SV21 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(221,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 ) )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(222,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(223,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ SV13 @ SV22 ) )
= $true )
| ( ( ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(224,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) ) )
= $false )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(225,plain,
! [SV8: $i,SV27: $i,SV17: $i] :
( ( ( ~ ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $false )
| ( ( occurrence_of @ SV8 @ SV27 )
= $false )
| ( ( root_occ @ SV17 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(226,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(227,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ( subactivity_occurrence @ SV28 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(228,plain,
! [SV10: $i,SV29: $i,SV19: $i] :
( ( ( ~ ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $false )
| ( ( occurrence_of @ SV10 @ SV29 )
= $false )
| ( ( leaf_occ @ SV19 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(229,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) )
| ~ ! [SY101: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY101 @ tptp0 )
| ( SY101
= ( sK4_SY96 @ SV1 ) )
| ( SY101
= ( sK5_SY99 @ SV1 ) ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(230,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( ~ ( occurrence_of @ SV20 @ SV30 ) )
= $true )
| ( ( ~ ( root_occ @ SV2 @ SV20 ) )
= $true )
| ( ( ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(231,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(232,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(233,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( ~ ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(234,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
| ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(235,plain,
! [SV8: $i,SV27: $i,SV17: $i] :
( ( ( ! [SY93: $i] :
~ ( min_precedes @ SY93 @ SV17 @ SV27 ) )
= $true )
| ( ( occurrence_of @ SV8 @ SV27 )
= $false )
| ( ( root_occ @ SV17 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(236,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) ) )
= $true )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(237,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( subactivity_occurrence @ SV28 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) )
= $true )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(238,plain,
! [SV10: $i,SV29: $i,SV19: $i] :
( ( ( ! [SY95: $i] :
~ ( min_precedes @ SV19 @ SY95 @ SV29 ) )
= $true )
| ( ( occurrence_of @ SV10 @ SV29 )
= $false )
| ( ( leaf_occ @ SV19 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(239,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) )
| ~ ! [SY101: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY101 @ tptp0 )
| ( SY101
= ( sK4_SY96 @ SV1 ) )
| ( SY101
= ( sK5_SY99 @ SV1 ) ) ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(240,plain,
! [SV11: $i,SV2: $i,SV30: $i,SV20: $i] :
( ( ( occurrence_of @ SV20 @ SV30 )
= $false )
| ( ( ~ ( root_occ @ SV2 @ SV20 ) )
= $true )
| ( ( ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(241,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ~ ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(242,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ~ ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
= $false )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(243,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) ) )
= $true )
| ( ( ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(244,plain,
! [SV8: $i,SV27: $i,SV17: $i,SV33: $i] :
( ( ( ~ ( min_precedes @ SV33 @ SV17 @ SV27 ) )
= $true )
| ( ( occurrence_of @ SV8 @ SV27 )
= $false )
| ( ( root_occ @ SV17 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(245,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
| ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(246,plain,
! [SV10: $i,SV29: $i,SV34: $i,SV19: $i] :
( ( ( ~ ( min_precedes @ SV19 @ SV34 @ SV29 ) )
= $true )
| ( ( occurrence_of @ SV10 @ SV29 )
= $false )
| ( ( leaf_occ @ SV19 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(247,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) )
| ~ ! [SY101: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY101 @ tptp0 )
| ( SY101
= ( sK4_SY96 @ SV1 ) )
| ( SY101
= ( sK5_SY99 @ SV1 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(248,plain,
! [SV11: $i,SV30: $i,SV20: $i,SV2: $i] :
( ( ( root_occ @ SV2 @ SV20 )
= $false )
| ( ( occurrence_of @ SV20 @ SV30 )
= $false )
| ( ( ~ ( root_occ @ SV11 @ SV20 ) )
= $true )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(249,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ! [SY90: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY90 @ SV22 )
| ~ ( min_precedes @ SY90 @ SV13 @ SV22 ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(250,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ~ ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
= $true )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(251,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) ) )
= $false )
| ( ( ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(252,plain,
! [SV8: $i,SV27: $i,SV17: $i,SV33: $i] :
( ( ( min_precedes @ SV33 @ SV17 @ SV27 )
= $false )
| ( ( occurrence_of @ SV8 @ SV27 )
= $false )
| ( ( root_occ @ SV17 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(253,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( ~ ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(254,plain,
! [SV9: $i,SV28: $i,SV18: $i] :
( ( ( ~ ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) ) )
= $false )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(255,plain,
! [SV10: $i,SV29: $i,SV34: $i,SV19: $i] :
( ( ( min_precedes @ SV19 @ SV34 @ SV29 )
= $false )
| ( ( occurrence_of @ SV10 @ SV29 )
= $false )
| ( ( leaf_occ @ SV19 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(256,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(257,plain,
! [SV1: $i] :
( ( ( ~ ! [SY101: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY101 @ tptp0 )
| ( SY101
= ( sK4_SY96 @ SV1 ) )
| ( SY101
= ( sK5_SY99 @ SV1 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(258,plain,
! [SV2: $i,SV30: $i,SV20: $i,SV11: $i] :
( ( ( root_occ @ SV11 @ SV20 )
= $false )
| ( ( occurrence_of @ SV20 @ SV30 )
= $false )
| ( ( root_occ @ SV2 @ SV20 )
= $false )
| ( ( SV2 = SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(259,plain,
! [SV13: $i,SV22: $i,SV35: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( min_precedes @ SV4 @ SV35 @ SV22 )
| ~ ( min_precedes @ SV35 @ SV13 @ SV22 ) ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(260,plain,
! [SV13: $i,SV22: $i,SV4: $i] :
( ( ( ! [SY91: $i] :
~ ~ ( ~ ( min_precedes @ SV4 @ SY91 @ SV22 )
| ~ ( min_precedes @ SY91 @ SV13 @ SV22 ) ) )
= $false )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(261,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ( occurrence_of @ SV26 @ tptp3 )
| ~ ( root_occ @ SV26 @ sK1_X100 ) )
= $true )
| ( ( ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(262,plain,
! [SV9: $i,SV18: $i,SV28: $i] :
( ( ( occurrence_of @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) @ SV9 )
= $true )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(263,plain,
! [SV9: $i,SV28: $i,SV18: $i] :
( ( ( subactivity_occurrence @ SV18 @ ( sK3_SY94 @ SV28 @ SV18 @ SV9 ) )
= $true )
| ( ( min_precedes @ SV18 @ SV28 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(264,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(265,plain,
! [SV1: $i] :
( ( ( ! [SY101: $i] :
( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SY101 @ tptp0 )
| ( SY101
= ( sK4_SY96 @ SV1 ) )
| ( SY101
= ( sK5_SY99 @ SV1 ) ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(266,plain,
! [SV13: $i,SV22: $i,SV35: $i,SV4: $i] :
( ( ( ~ ( ~ ( min_precedes @ SV4 @ SV35 @ SV22 )
| ~ ( min_precedes @ SV35 @ SV13 @ SV22 ) ) )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(267,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( min_precedes @ SV4 @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV22 )
| ~ ( min_precedes @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV13 @ SV22 ) ) )
= $false )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[260]) ).
thf(268,plain,
! [SV32: $i,SV26: $i] :
( ( ( ~ ( occurrence_of @ SV26 @ tptp3 ) )
= $true )
| ( ( ~ ( root_occ @ SV26 @ sK1_X100 ) )
= $true )
| ( ( ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(269,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
| ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(270,plain,
! [SV36: $i,SV1: $i] :
( ( ( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SV36 @ tptp0 )
| ( SV36
= ( sK4_SY96 @ SV1 ) )
| ( SV36
= ( sK5_SY99 @ SV1 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(271,plain,
! [SV13: $i,SV22: $i,SV35: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ SV35 @ SV22 )
| ~ ( min_precedes @ SV35 @ SV13 @ SV22 ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(272,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( ~ ( min_precedes @ SV4 @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV22 )
| ~ ( min_precedes @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV13 @ SV22 ) ) )
= $true )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(273,plain,
! [SV32: $i,SV26: $i] :
( ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( ~ ( root_occ @ SV26 @ sK1_X100 ) )
= $true )
| ( ( ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(274,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(275,plain,
! [SV1: $i] :
( ( ( ~ ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(276,plain,
! [SV36: $i,SV1: $i] :
( ( ( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SV36 @ tptp0 ) )
= $true )
| ( ( ( SV36
= ( sK4_SY96 @ SV1 ) )
| ( SV36
= ( sK5_SY99 @ SV1 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(277,plain,
! [SV13: $i,SV22: $i,SV35: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ SV35 @ SV22 ) )
= $true )
| ( ( ~ ( min_precedes @ SV35 @ SV13 @ SV22 ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(278,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV22 )
| ~ ( min_precedes @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV13 @ SV22 ) )
= $false )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(279,plain,
! [SV32: $i,SV26: $i] :
( ( ( root_occ @ SV26 @ sK1_X100 )
= $false )
| ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( ~ ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) ) )
= $true )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(280,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(281,plain,
! [SV1: $i] :
( ( ( min_precedes @ ( sK4_SY96 @ SV1 ) @ ( sK5_SY99 @ SV1 ) @ tptp0 )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(282,plain,
! [SV36: $i,SV1: $i] :
( ( ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SV36 @ tptp0 )
= $false )
| ( ( ( SV36
= ( sK4_SY96 @ SV1 ) )
| ( SV36
= ( sK5_SY99 @ SV1 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(283,plain,
! [SV13: $i,SV22: $i,SV35: $i,SV4: $i] :
( ( ( min_precedes @ SV4 @ SV35 @ SV22 )
= $false )
| ( ( ~ ( min_precedes @ SV35 @ SV13 @ SV22 ) )
= $true )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(284,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( min_precedes @ SV4 @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV22 ) )
= $false )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(285,plain,
! [SV4: $i,SV22: $i,SV13: $i] :
( ( ( ~ ( min_precedes @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV13 @ SV22 ) )
= $false )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(286,plain,
! [SV26: $i,SV32: $i] :
( ( ( ( occurrence_of @ SV32 @ tptp2 )
| ( occurrence_of @ SV32 @ tptp1 ) )
= $false )
| ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( root_occ @ SV26 @ sK1_X100 )
= $false )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(287,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
| ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(288,plain,
! [SV1: $i,SV36: $i] :
( ( ( SV36
= ( sK4_SY96 @ SV1 ) )
= $true )
| ( ( SV36
= ( sK5_SY99 @ SV1 ) )
= $true )
| ( ( min_precedes @ ( sK2_SY43 @ SV1 ) @ SV36 @ tptp0 )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(289,plain,
! [SV4: $i,SV22: $i,SV13: $i,SV35: $i] :
( ( ( min_precedes @ SV35 @ SV13 @ SV22 )
= $false )
| ( ( min_precedes @ SV4 @ SV35 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(290,plain,
! [SV22: $i,SV13: $i,SV4: $i] :
( ( ( min_precedes @ SV4 @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV22 )
= $true )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(291,plain,
! [SV4: $i,SV22: $i,SV13: $i] :
( ( ( min_precedes @ ( sK6_SY91 @ SV13 @ SV22 @ SV4 ) @ SV13 @ SV22 )
= $true )
| ( ( min_precedes @ SV4 @ SV13 @ SV22 )
= $false )
| ( ( next_subocc @ SV4 @ SV13 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(292,plain,
! [SV26: $i,SV32: $i] :
( ( ( occurrence_of @ SV32 @ tptp2 )
= $false )
| ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( root_occ @ SV26 @ sK1_X100 )
= $false )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(293,plain,
! [SV26: $i,SV32: $i] :
( ( ( occurrence_of @ SV32 @ tptp1 )
= $false )
| ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( root_occ @ SV26 @ sK1_X100 )
= $false )
| ( ( ~ ( min_precedes @ SV26 @ SV32 @ tptp0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(294,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(295,plain,
! [SV1: $i] :
( ( ( ~ ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(296,plain,
! [SV32: $i,SV26: $i] :
( ( ( min_precedes @ SV26 @ SV32 @ tptp0 )
= $false )
| ( ( root_occ @ SV26 @ sK1_X100 )
= $false )
| ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( occurrence_of @ SV32 @ tptp2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(297,plain,
! [SV32: $i,SV26: $i] :
( ( ( min_precedes @ SV26 @ SV32 @ tptp0 )
= $false )
| ( ( root_occ @ SV26 @ sK1_X100 )
= $false )
| ( ( occurrence_of @ SV26 @ tptp3 )
= $false )
| ( ( occurrence_of @ SV32 @ tptp1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(298,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(299,plain,
! [SV1: $i] :
( ( ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
| ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(300,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
| ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(301,plain,
! [SV1: $i] :
( ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp2 )
= $true )
| ( ( occurrence_of @ ( sK5_SY99 @ SV1 ) @ tptp1 )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(302,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(303,plain,
! [SV1: $i] :
( ( ( ~ ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(304,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(305,plain,
! [SV1: $i] :
( ( ( min_precedes @ ( sK2_SY43 @ SV1 ) @ ( sK4_SY96 @ SV1 ) @ tptp0 )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(306,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
| ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(307,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(308,plain,
! [SV1: $i] :
( ( ( ~ ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(309,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) ) )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(310,plain,
! [SV1: $i] :
( ( ( occurrence_of @ ( sK4_SY96 @ SV1 ) @ tptp4 )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(311,plain,
! [SV1: $i] :
( ( ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
| ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(312,plain,
! [SV1: $i] :
( ( ( ~ ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(313,plain,
! [SV1: $i] :
( ( ( ~ ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 ) )
= $false )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(314,plain,
! [SV1: $i] :
( ( ( occurrence_of @ ( sK2_SY43 @ SV1 ) @ tptp3 )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(315,plain,
! [SV1: $i] :
( ( ( root_occ @ ( sK2_SY43 @ SV1 ) @ SV1 )
= $true )
| ( ( occurrence_of @ SV1 @ tptp0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(316,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[84,315,314,310,305,301,297,296,291,290,289,288,281,263,262,258,255,252,237,231,220,213,183,170,129,123,121,118,117,116,114,95,88,87,86]) ).
thf(317,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO012+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 13:54:26 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.33
% 0.68/0.33 No.of.Axioms: 21
% 0.68/0.33
% 0.68/0.33 Length.of.Defs: 0
% 0.68/0.33
% 0.68/0.33 Contains.Choice.Funs: false
% 0.68/0.33 .........
% 0.68/0.33
% 0.68/0.33 ********************************
% 0.68/0.33 * All subproblems solved! *
% 0.68/0.33 ********************************
% 0.68/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:316,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.68/0.33
% 0.68/0.33 %**** Beginning of derivation protocol ****
% 0.68/0.33 % SZS output start CNFRefutation
% See solution above
% 0.68/0.33
% 0.68/0.33 %**** End of derivation protocol ****
% 0.68/0.33 %**** no. of clauses in derivation: 293 ****
% 0.68/0.33 %**** clause counter: 316 ****
% 0.68/0.33
% 0.68/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:316,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------